SOLUTION: The sides of a triangle measure 9, 15, and 18. If the shortest side of a similar triangle measures 6, find the length of the longest side of this triangle.
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-> SOLUTION: The sides of a triangle measure 9, 15, and 18. If the shortest side of a similar triangle measures 6, find the length of the longest side of this triangle.
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Question 282054: The sides of a triangle measure 9, 15, and 18. If the shortest side of a similar triangle measures 6, find the length of the longest side of this triangle. Found 2 solutions by Fombitz, arKed:Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! The first triangle has a ratio of sides as 9:15:18.
The similar triangle retains that ratio as 6:X:Y.
The multiplier is then,
So then
The longest side would then be 12.
You can put this solution on YOUR website! Similar triangles
a1/a1 = b1=b2 = c1/c2
9/6 = 15/b2 = 18/c2
Since 18 is the longest side we will solve for c2
9/6 = 1.5
c2 = 18/1.5
longest side = 12
